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Finding the Fourth Proportional to 3,678.82, 5,514.75 and 1,704.65

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Solution

The fourth proportional to 3,678.82, 5,514.75 and 1,704.65 is: 2,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.82 : 5,514.75 = 1,704.65 : x
  2. Step 2: Convert to fraction form
    3,678.82/5,514.75 = 1,704.65/x
  3. Step 3: Cross multiply
    3,678.82x = 5,514.75 × 1,704.65
  4. Step 4: Simplify right side
    3,678.82x = 9,400,691.01
  5. Step 5: Solve for x
    x = 9,400,691.01/3,678.82
  6. Step 6: Final answer
    x = 2,555.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.